An introduction to Sobolev spaces with applications in Calculus of Variations and Critical Point Theory
Basic Course
Lecturer
Eugene Stepanov
Steklov Research Institute of Mathematics of the Russian Academy of Sciences and Scuola Normale Superiore Pisa
Board Contact
Roberta Musina
SSD
MAT/05
CFU
2 CFU + 2 CFU on assignment completion
Period
November-December 2022
Lessons / Hours
8 hours
Program
Sobolev Spaces are the basis of the modern theory of variational differential equations. The Sobolev spaces occur in a wide range of questions including, for instance, differential geometry, harmonic analysis, engineering, mechanics, and physics.
Verification
Possible seminar on proposed/assigned specific argument
Prerequisites
Banach and Hilbert spaces, Frechét Differential calculus, distributional derivatives.
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